Study of concentration arising in longitudinal dispersion phenomenon by Aboodh transform homotopy perturbation method

This paper applies the Aboodh transform homotopy perturbation method(ATHPM) to solve a partial differential equation. Aboodh transform is used to solve linear differential equations, HPM is a solid and effective technique for obtaining solutions to nonlinear differential equations. In this work, the longitudinal dispersion phenomena that occur in fluid flow through porous medium have been studied in terms of concentration. In addition, graphical illustrations for concentration are shown by Maple. Also, the convergence analysis is shown, and tabulated values are calculated by Maple. The final results conclude that the concentration reaction reduces slightly with a distance of θ and rises with τ. The proposed method’s precision and effectiveness recommend that ATHPM can apply it to a wide range of nonlinear real-world problems. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.